We look at the division of 340126 by 79 
We want to figure out the number of times 340126 can be divided by 79.

Advancing to step 1:
If we divide 3 by 79, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 79

Step 2:
79 goes into 34 0 times with a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Append the next digit (0) from the dividend to 34 and continue with: 340 / 79

Step 3:
79 can be fit into 340 4 times, resulting in a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we subtract 316 from 340, we get 24.
Fetch the next digit (1) from the dividend, attach it to 24 and continue: 241 / 79

Moving on to step 4:
79 can be fit into 241 3 times, resulting in a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 43.0
Subtract 237 from 241 to get 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 79

On to step 5:
The number 79 fits into 42 0 times, leaving a remainder of 42.
The next digit of our result is 0. 
Result so far: 430.0
Deduct 0 from 42 and we're left with 42.
Fetch the next digit (6) from the dividend, attach it to 42 and continue: 426 / 79

Going ahead to step 6:
426 divided by 79 is 5 with a remainder of 31.
The number 5 becomes the next digit in our result. 
Result so far: 4305.0
Subtracting 395 from 426 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 7:
79 goes into 310 3 times with a remainder of 73.
Put 3 as the next digit of the answer. 
Result so far: 4305.3
Subtracting 237 from 310 leaves us with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Advancing to step 8:
79 can be fit into 730 9 times, resulting in a remainder of 19.
Record the quotient 9 as the next digit in the result. 
Result so far: 4305.39
The remainder is 19 after subtracting 711 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 9:
The number 79 fits into 190 2 times, leaving a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 4305.392
If we subtract 158 from 190, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 10:
When dividing 320 by 79, we get 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 4305.3924
Subtract 316 from 320 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
The number 79 fits into 40 0 times, leaving a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 4305.3924
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 12:
When dividing 400 by 79, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 4305.392405
If we take 395 away from 400, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 13:
79 goes into 50 0 times with a remainder of 50.
The next digit of our result is 0. 
Result so far: 4305.392405
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 14:
500 divided by 79 is 6 with a remainder of 26.
Use 6 as the next digit of our solution. 
Result so far: 4305.39240506
If we subtract 474 from 500, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

After the division, we end up with 4305.39240506 and a remainder of 2.6e-08.